Results 81 to 90 of about 12,737 (208)

Extended Riemann-Liouville fractional derivative operator and its applications [PDF]

, 2015
Many authors have introduced and investigated certain extended fractional derivative operators. The main object of this paper is to give an extension of the Riemann-Liouville fractional derivative operator with the extended Beta function given by ...
Agarwal, Praveen, Choi, Junesang, Paris, Richard B.   +2 more
core   +1 more source

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Novel Synchronization Analysis of Fractional‐Order Nonautonomous Neural Networks With Mixed Delays

Discrete Dynamics in Nature and Society, Volume 2026, Issue 1, 2026.
This paper focuses on the global Mittag–Leffler synchronization of fractional‐order nonautonomous neural networks with mixed delays (FONANNMD). A time‐varying coefficient eρt is introduced to capture the nonautonomous dynamics, aligning with real‐world time‐varying neuron connection weights. A linear feedback controller, integrating proportional, delay,
Xiao-wen Tan, Yu Wang, Tian-zeng Li, Qian-kun Wang, Sundarapandian Vaidyanathan   +4 more
wiley   +1 more source

On post-quantum multiparameter Riemann–Liouville fractional integral inequalities with application

Journal of Inequalities and Applications
Post-quantum integral inequalities involving the Riemann–Liouville fractional integral have a significant role in understanding and modeling systems with nonlocal interactions; anomalous diffusion and memory effects make them indispensable for addressing
Sobia Rafeeq, Sabir Hussain, Drakhshan Mansab, Hijaz Ahmad, Taha Radwan   +4 more
doaj   +1 more source

Some New Generalizations for Exponentially s-Convex Functions and Inequalities via Fractional Operators

Fractal and Fractional, 2019
The main objective of this paper is to obtain the Hermite−Hadamard-type inequalities for exponentially s-convex functions via the Katugampola fractional integral.
Saima Rashid, Muhammad Aslam Noor, Khalida Inayat Noor, Ahmet Ocak Akdemir   +3 more
doaj   +1 more source

On the Leibniz rule and Laplace transform for fractional derivatives

, 2019
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan, Tse, Peter W., Wang, Yong, Wei, Yiheng   +3 more
core   +3 more sources

On some integral inequalities for (k,h)-Riemann-Liouville fractional integral

New Trends in Mathematical Science, 2016
In this study, giving the definition of fractional integral, which are with the help of synchronous and monotonic function, some fractional integral inequalities have established.
AKKURT, Abdullah, YİLDİRİM, M. Esra, YİLDİRİM, Huseyin Yildirim   +2 more
openaire   +2 more sources

Fixed Point Analysis for Cauchy‐Type Variable‐Order Fractional Differential Equations With Finite Delay

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This paper presents a comprehensive analysis of the existence, uniqueness, and Ulam–Hyers stability of solutions for a class of Cauchy‐type nonlinear fractional differential equations with variable order and finite delay. The motivation for this study lies in the increasing importance of variable‐order fractional calculus in modeling real‐world systems
Souhila Sabit, Mohammed Said Souid, Marwa Benaouda, K. Sudarmozhi, Joshua Kiddy K. Asamoah, Amar Nath Chatterjee   +5 more
wiley   +1 more source

Modified Optimal Energy and Initial Memory of Fractional Continuous-Time Linear Systems

, 2010
Fractional systems with Riemann-Liouville derivatives are considered. The initial memory value problem is posed and studied. We obtain explicit steering laws with respect to the values of the fractional integrals of the state variables.
Mozyrska, Dorota, Torres, Delfim F. M.
core   +1 more source

A Study on Mathematical Modelling of Michaelis–Menten Enzyme Kinetics Using Fractional Derivatives

International Journal of Differential Equations, Volume 2026, Issue 1, 2026.
This article investigates mathematical simulations of Michaelis–Menten kinetics in differential biochemical reactions by implementing fractional derivatives. It establishes numerical computations for the concentrations of enzymes, substrates, inhibitors, products, and several complex intermediates using the homotopy perturbation method (HPM), homotopy ...
B. Radhakrishnan, P. Chandru, W. D. Mergia, Igor Freire   +3 more
wiley   +1 more source